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系统工程与电子技术  2020, Vol. 42 Issue (4): 733-739    DOI: 10.3969/j.issn.1001-506X.2020.04.01
  电子技术 本期目录 | 过刊浏览 | 高级检索 |
基于联合子带ANM的小快拍宽带DOA估计方法
石娟1(), 张群飞1(), 毛琳琳2(), 史文涛1()
1. 西北工业大学航海学院, 陕西 西安 710072
2. 中国科学院声学研究所, 北京 100190
Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization
Juan SHI1(), Qunfei ZHANG1(), Linlin MAO2(), Wentao SHI1()
1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China
2. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China
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摘要 

针对被动探测系统中,经典宽带信号波达方位(direction-of-arrival, DOA)估计方法在小快拍条件下无法直接有效地进行方位估计的问题,提出了一种基于联合子带最小原子范数(atomic norm minimization, ANM)的小快拍宽带信号方位估计方法。该方法首先将宽带信号划分的各子带聚焦到参考频点,再联合聚焦后的子带进行数据矩阵重构,最后通过ANM半正定规划优化,构造并恢复出一个最优的Toeplitz矩阵。该Toeplitz矩阵经过特征分解,能获得准确的信号子空间,从而实现有效的DOA估计。仿真结果表明,本文所提的方位估计方法在小快拍条件下具有良好的DOA估计性能,且能够估计相干源目标。

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石娟
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毛琳琳
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关键词 宽带信号波达方位估计联合子带最小原子范数Toeplitz矩阵    
Abstract

In the detective and estimation passive system, the traditional direction-of-arrival (DOA) estimation methods cannot work directly with deficient snapshots. To solve this problem, an improved wide band DOA estimation approach is developed by applying the atomic norm minimization (ANM) technique to the joint sub-band data. First, every sub-band data of the whole bandwidth focuses on the reference frequency band to obtain the new sub-band data. Next, the new data matrix is reconstructed by the joint sub-band data after rotation. Then, an optimal Toeplitz matrix is obtained from ANM in the form of semi-definite programming. The accurate signal subspace can be acquired by performing eigenvalue decomposition of the retrieval Toeplitz matrix, which avails to DOA estimation. Simulation results show that the proposed wide band DOA estimation method exhibits better performance in the case of deficient snapshots and can estimate coherent source targets.

Key wordswide band signal    direction-of-arrival (DOA) estimation    joint sub-band    atomic norm minimization (ANM)    Toeplitz matrix
收稿日期: 2019-04-02      出版日期: 2020-03-28
中图分类号:  TN911.7  
基金资助:国家自然科学基金(61531015);国家自然科学基金(61501374);国家自然科学基金(61901467);国家重点研发计划(2016YFC1400203)
作者简介: 石娟(1984-),女,博士研究生,主要研究方向为信号处理。E-mail:shijuan@mail.nwpu.edu.cn|张群飞(1968-),男,教授,博士研究生导师,博士,主要研究方向阵列信号处理、水下通信。E-mail:zhangqf@nwpu.edu.cn|毛琳琳(1991-),女,助理研究员,博士,主要研究方向为水下目标探测。E-mail:maoll@mail.ioa.ac.cn|史文涛(1985-),男,副教授,博士,主要研究方向为水下信号处理。E-mail:swt1985@126.com
引用本文:   
石娟, 张群飞, 毛琳琳, 史文涛. 基于联合子带ANM的小快拍宽带DOA估计方法[J]. 系统工程与电子技术, 2020, 42(4): 733-739.
Juan SHI, Qunfei ZHANG, Linlin MAO, Wentao SHI. Wideband DOA estimation with deficient snapshots via joint sub-band atomic norm minimization[J]. Systems Engineering and Electronics, 2020, 42(4): 733-739.
链接本文:  
http://www.sys-ele.com/CN/10.3969/j.issn.1001-506X.2020.04.01      或      http://www.sys-ele.com/CN/Y2020/V42/I4/733
Fig.1  阵列结构
Fig.2  RMSE随快拍数变化的关系(SNR=10 dB)
Fig.3  RMSE随SNR变化的关系(L=1)
Fig.4  RMSE随SNR变化的关系(L=2)
快拍数 方法 RMSE/(°)
SNR=10 dB SNR=16 dB
L=1 JSB-ANM 1.26 0.75
FSS-RSS 4.14 0.98
FSS-ISM 18.74 11.80
L=2 JSB-ANM 0.92 0.50
FSS-RSS 1.83 0.78
FSS-ISM 12.60 3.47
Table 1  RMSE随SNR的变化
Fig.5  RMSE与目标间隔关系(SNR=10 dB)
Fig.6  相干信号的RMSE随SNR变化的关系
1 WANG B , ZHANG S , WANG W Q . Bayesian inverse synthetic aperture radar imaging by exploiting sparse probing frequencies[J]. IEEE Antennas Wireless Propagation Letters, 2015, 14, 1698- 1701.
doi: 10.1109/LAWP.2015.2419275
2 WU Y L , ZHANG S S , KANG H Q , et al. Fast marginalized sparse Bayesian learning for 3-D interferometric ISAR Image information via super resolution ISAR imaging[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2015, 8 (10): 4942- 4951.
doi: 10.1109/JSTARS.2015.2455508
3 SHI J, ZHANG Q F, WANG Y.Wide band DOA estimation based on A-shaped array[C]//Proc.of the IEEE International Conference on Signal Processing, Communications and Computing (ICSPCC), 2017: 1-5.
4 王永良, 陈辉. 空间谱估计理论与方法[M]. 北京: 清华大学出版社, 2004: 1- 2,83,257.
4 WANG Y L , CHEN H . Spatial spectrum estimation theory and algorithm[M]. Beijing: Tsinghua University Press, 2004: 1- 2,83,257.
5 毛琳琳, 张群飞, 黄建国, 等. 基于互相关协方差矩阵的改进多重信号分类高分辨波达方位估计方法[J]. 电子信息学报, 2015, 37 (8): 1886- 1891.
5 MAO L L , ZHANG Q F , HUANG J G , et al. Improved multiple signal classification algorithm for direction-of-arrival estimation based on covariance matrix of cross correlation[J]. Journal of Electronics Information Technology, 2015, 37 (8): 1886- 1891.
6 SHI J , ZHANG Q F , SHI W T . Wide band DOA estimation with deficient snapshots using low rank Toeplitz structure[J]. IET Electronical Letters, 2019, 55 (17): 961- 963.
doi: 10.1049/el.2019.1748
7 MAO L L , LI H B , ZHANG Q F . Transmit design and DOA estimation for wideband MIMO system with colocated nested arrays[J]. Signal Processing, 2018, 152 (5): 63- 68.
8 HE Z Q , SHI Z P , HUANG L , et al. Under determined DOA estimation for wide band signals using robust sparse covariance fitting[J]. IEEE Signal Processing Letters, 2015, 22 (4): 435- 439.
doi: 10.1109/LSP.2014.2358084
9 LEI K Z , LIU X L , LING N , et al. An optimized symmetric WENO method based numerical simulation of intense sound field generated by underwater plasma sound source[J]. Journal of Sensors, 2018, 2018, 1- 8.
10 谢鑫, 李信国, 刘华文. 采用单次快拍数据实现相干号DOA估计[J]. 电子信息学报, 2010, 32 (3): 604- 608.
10 XIE X , LI X G , LIU H W . DOA estimation of coherent signals using one snapshot[J]. Journal of Electronics Information Technology, 2010, 32 (3): 604- 608.
11 LIU Y, WU S J, WU M Y, et al.ESPRIT matching pursuit algorithm for DOA estimation with single snapshot[C]//Proc.of the IEEE CIE International Conference on Radar, 2011: 1-5.
12 YILMAZER N, SARKAR T K, MAGDALENA S P.DOA estimation using matrix pencil and ESPRIT methods single and multiple snapsots[C]//Proc.of the URSI International Symposium on Electromagnetic Theory, 2014: 1-4.
13 HE Z Q , LIU Q H , JIN L N , et al. Low complexity method for DOA estimation using array covariance matrix sparse representation[J]. Electronics Letters, 2013, 49 (3): 228- 230.
doi: 10.1049/el.2012.4032
14 刘庆华, 欧阳缮, 何振清. 准平稳信号的Khatri-Rao积联合稀疏分解DOA估计方法[J]. 系统工程与电子技术, 2012, 34 (9): 1753- 1757.
doi: 10.3969/j.issn.1001-506X.2012.09.01
14 LIU Q H , OUYANG S , HE Z Q . DOA estimation of quasi-stationary based on Khatri-Rao product using joint signal sparse representation[J]. Systems Engineering and Electronics, 2012, 34 (9): 1753- 1757.
doi: 10.3969/j.issn.1001-506X.2012.09.01
15 DUARTE M F , BARANIUK R . Spectral compressive sensing[J]. Signal Processing, 2013, 35, 111- 119.
16 TANG G G , BHASKAR B N , SHAH P , et al. Compressed sensing off the grid[J]. IEEE Trans.on Information Theory, 2013, 59 (11): 7465- 7490.
doi: 10.1109/TIT.2013.2277451
17 TIAN Z, ZHANG Z, WANG Y.Low-complexity optimization for two-dimensional direction-of-arrival estimation via decoupled atomic norm minimization[C]//Proc.of the 42nd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2017: 1-5.
18 WANG Y, XU P, TIAN Z.Efficient channel estimation for massive MIMO systems via Truncated two-dimensional atomic norm minimization[C]//Proc.of the IEEE Conference on Communation, 2017: 1-5.
19 YANG Z, XIU L.On gridless sparse methods for multi-snapshot DOA estimation[C]//Proc.of the International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2016: 1-5.
20 CHANDRASEKARAN V , RECHT B , PARRILO P A , et al. The convex geometry of linear inverse problems[J]. Foundations of Computional Mathematics, 2012, 12 (6): 805- 849.
doi: 10.1007/s10208-012-9135-7
21 BO L K, XIONG J Y, LUO L Y.A novel wide band DOA estimation method using direction free focusing matrix[C]//Proc.of the 3rd International Conference on Computer Science and Network Technology (ICCSNT), 2013: 1065-1069.
22 YANG Z , XIU L . Exact joint sparse frequency recovery via optimization methods[J]. IEEE Trans.on Signal Processing, 2016, 64 (19): 145- 5157.
23 刘云, 李志舜. 宽带波达方向估计的克拉美罗界研究[J]. 声学学报, 2006, 32 (2): 126- 131.
doi: 10.3321/j.issn:0371-0025.2006.02.006
23 LIU Y , LI Z S . On the Cramér-Rao bound of wide band direction-of-arrival estimation[J]. Journal of Acoustics, 2006, 32 (2): 126- 131.
doi: 10.3321/j.issn:0371-0025.2006.02.006
24 袁骏, 蔡志明, 肖卉, 等. 动拖线阵宽带方位估计的克拉美罗界研究[J]. 海军工程大学学报, 2018, 30 (3): 86- 91.
24 YUAN J , CAI Z M , XIAO H , et al. Cramer-Rao bound of eideband DOA estimation for maneuvering towed linear array[J]. Journal of Naval University of Engineering, 2018, 30 (3): 86- 91.
25 HE Z Q , SHI Z P , HUANG L . Under determined DOA estimation for wide band signals using robust sparse covariance fitting[J]. IEEE Signal Processing Letters, 2015, 2 (4): 435- 439.
doi: 10.1109/LSP.2014.2358084
26 GRANT M, BOYD S, YE Y.CVX: Matlab software for disciplined convex programming[EB/OL].[2017-03-01].http://cvxr.com/cvx.
27 赵拥军, 李冬梅, 赵闯, 等. 宽带阵列信号波达方向估计理论与方法[M]. 北京: 国防工业出版社, 2013: 47.
27 ZHAO Y J , LI D M , ZHAO C , et al. Wide band array signal DOA estimation theory and Method[M]. Beijing: China National Defence industry Press, 2013: 47.
28 DANIEL R F, GEOFFREY S A.Transmit beam forming for MIMO radar systems using partial signal correlation[C]//Proc.of the 38th Asilomar Conference on Signals, Systems and Computer, 2004: 295-299.
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